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Finding the Third Proportional to 563,634 and 993,366

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Solution

The third proportional to 563,634 and 993,366 is: 1,750,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,634 : 993,366 = 993,366 : x
  2. Step 2: Convert to fraction form
    563,634/993,366 = 993,366/x
  3. Step 3: Cross multiply
    563,634x = 993,366 × 993,366
  4. Step 4: Simplify right side
    563,634x = 986,776,009,956
  5. Step 5: Solve for x
    x = 986,776,009,956/563,634
  6. Step 6: Final answer
    x = 1,750,738.97

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.